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Part I—Calculate By Hand

1. If the alpha level is changed from α = 0.05 to α = 0.01,
a) What happens to the boundaries for the critical region? (2 pts)

The boundaries of the critical region would get more far away from the mean of the distribution (the middle line).

In other words - rejection of the null hypothesis would get more difficult allowing only 1% of the whole distribution, rather than 5%.

b) What happens to the probability of Type I error? (2 pts)
The probability of a Type I error would decrease from 0.05 to 0.01.
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        3.64mstwenty4_siteHomeworkLibraryController.php#97
        Backtrace
        • 21. app/Http/Controllers/HomeworkLibraryController.php:97
        • 22. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
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        1.26mstwenty4_siteHomeworkLibraryController.php#97
        Backtrace
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        • 23. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
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        • 26. app/Http/Controllers/HomeworkLibraryController.php:105
        • 27. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 28. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 29. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
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        Backtrace
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      • select * from `subjects` where `subjects`.`id` in (134)
        970μstwenty4_siteHomeworkLibraryRepository.php#30
        Backtrace
        • 19. app/Repositories/HomeworkLibraryRepository.php:30
        • 20. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
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        • 24. app/Http/Controllers/HomeworkLibraryController.php:139
      • select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 41143 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc
        1.43mstwenty4_siteHomeworkLibrary.php#260
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        Backtrace
        • 15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260
        • 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:58
        • 19. vendor/league/fractal/src/TransformerAbstract.php:128
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        Backtrace
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        • 19. vendor/league/fractal/src/TransformerAbstract.php:128
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        Backtrace
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